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Finding the Fourth Proportional to 159,897.69, 239,824.65 and 47,595.24

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Solution

The fourth proportional to 159,897.69, 239,824.65 and 47,595.24 is: 71,386.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,897.69 : 239,824.65 = 47,595.24 : x
  2. Step 2: Convert to fraction form
    159,897.69/239,824.65 = 47,595.24/x
  3. Step 3: Cross multiply
    159,897.69x = 239,824.65 × 47,595.24
  4. Step 4: Simplify right side
    159,897.69x = 11,414,511,774.67
  5. Step 5: Solve for x
    x = 11,414,511,774.67/159,897.69
  6. Step 6: Final answer
    x = 71,386.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.